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12072820 = 225603641
BaseRepresentation
bin101110000011…
…011101110100
3211201100210111
4232003131310
511042312240
61110432404
7204421504
oct56033564
924640714
1012072820
1168a6541
124062704
1326691a6
141863a04
1510d71ea
hexb83774

12072820 has 12 divisors (see below), whose sum is σ = 25352964. Its totient is φ = 4829120.

The previous prime is 12072803. The next prime is 12072869. The reversal of 12072820 is 2827021.

It can be written as a sum of positive squares in 2 ways, for example, as 5071504 + 7001316 = 2252^2 + 2646^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12072791 and 12072800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 301801 + ... + 301840.

It is an arithmetic number, because the mean of its divisors is an integer number (2112747).

Almost surely, 212072820 is an apocalyptic number.

12072820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12072820 is an abundant number, since it is smaller than the sum of its proper divisors (13280144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12072820 is a wasteful number, since it uses less digits than its factorization.

12072820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603650 (or 603648 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 12072820 is about 3474.5963794375. The cubic root of 12072820 is about 229.4050154129.

Adding to 12072820 its reverse (2827021), we get a palindrome (14899841).

The spelling of 12072820 in words is "twelve million, seventy-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 603641 1207282 2414564 3018205 6036410 12072820